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Finding the Fourth Proportional to 592.90, 889.35 and 318.61

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Solution

The fourth proportional to 592.90, 889.35 and 318.61 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.90 : 889.35 = 318.61 : x
  2. Step 2: Convert to fraction form
    592.90/889.35 = 318.61/x
  3. Step 3: Cross multiply
    592.90x = 889.35 × 318.61
  4. Step 4: Simplify right side
    592.90x = 283,353.58
  5. Step 5: Solve for x
    x = 283,353.58/592.90
  6. Step 6: Final answer
    x = 477.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.